Coordinate Proof Practice Problems

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(Graph the following equations on a sheet of graph paper)


1)
Given- Segment GJ Bisects Angle OGH
Prove- Triangle GJO is congruent to triangle GJH


2)
Given- D= (h,2k) E= (2h,2k) C= (h,k), O= (0,0) and B= (h,o)
Prove- Triangle OBC is congruent to triangle EDC


3)
Given- R= (0,60) O= (0,0), T= (60,0), and OS bisects angle TQR
Prove- Line OS bisects angle TQR


4)
Given- P= (0,2h), N= (h,h), M= (2h,0), O= (0,0)
Prove- Triangle NPO is congruent to triangle NMO